Finding the Third Proportional to 776,416 and 1,646,140

Step by Step Solution

1. Step 1: Write the proportion equation
   776,416 : 1,646,140 = 1,646,140 : x
2. Step 2: Convert to fraction form
   776,416/1,646,140 = 1,646,140/x
3. Step 3: Cross multiply
   776,416x = 1,646,140 × 1,646,140
4. Step 4: Simplify right side
   776,416x = 2,709,776,899,600
5. Step 5: Solve for x
   x = 2,709,776,899,600/776,416
6. Step 6: Final answer
   x = 3,490,109.55